There are many varieties of red chard, and several multicolored chard varieties that have red in them.
Some people claim that red Swiss chard varieties don't grow as well, bolt more easily or are in some way inferior to the white varieties, but I haven't noticed any major differences, other than the ribs on white chard being wider and stouter.
Here are a list of the varieties that I've found so far, with some popular suppliers (click on the photos to learn more):
"Rhubarb" Chard -- an heirloom chard variety first developed in 1857 -- is named for its stalks, which are the same shade of red as rhubarb. Unlike rhubarb, the whole plant is edible, and it doesn't get nearly as large as a rhubarb plant does!
Swiss chard "Ruby Red" grows to around 18-24" tall, has green leaves (occasionally shot through with red) and bright red stalks.
Here are some you can find on Amazon:
Red Magic is a hybrid chard that has cranberry red stalks and leaves that go from green to purplish-red.
These are available exclusively from Burpee.
Burgundy chard has deep red stems (and often leaves) and apparently is very good for container gardens.
I found some for sale at Seedman.com
(note: I've never purchased here, but it looks as if they ship internationally and to APO addresses, so it might be worth taking a look at)
I found the "Charlotte" variety (which was developed in Europe) mentioned several places as being the most resistant to bolting out of all the red varieties, as well as being more productive than most.
If you live somewhere particularly hot and dry (or with frequent droughts, which is what causes bolting in chard), try this one.
Vulcan is a deep red variety of chard originally from Switzerland. You can find it at many retailers, most notably Baker Creek Heirlooms.
There are several multicolored chards which have red plants in the mix. Investigate these and see which fit your garden design plan:
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